You miss the point.
The insinuation is that the designer which ID postulates is simply identical with the personal God of the ancient Hebrews described in Genesis.
That is simply not so.
The Elohim of Genesis could fit the bill, but another entity which does not share all his attributes (like omniscience, omnipresence, omnipotence, etc.) could also fit the bill.
ID postulates an intelligence or intelligences - not a specific one.